Toric geometry and tropical trigonometry

Abstract: Toric varieties were constructed as algebraic varieties about 50 years ago, and also as symplectic varieties about 40 years ago. The two constructions are dual to each other, but are based on the same geometry in R^n. Symmetries in this geometry are linear transformations given by invertible n-by-n matrices with integer coefficients, as well as all translations. This makes the notion of a tangent integer vector as well as a notion of tropical curve well-defined. The talk will review basic constructions with a focus on tropical triangles that underlie some recent progress in symplectic embedding problems.

differential geometrydynamical systemsgeometric topologysymplectic geometryspectral theory

Audience: researchers in the topic

Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).